W_of_preservesSheafification — Mathlib

English

IsLocallySurjective J (whiskerLeft H.op f) iff IsLocallySurjective K f under CoverPreserving and density conditions.

Русский

IsLocallySurjective J(whiskerLeft H.op f) ⇔ IsLocallySurjective K f при условии покрытий.

LaTeX

$$$IsLocallySurjective J (H.op.whiskerLeft f) \iff IsLocallySurjective K f$$$

Lean4

theorem W_of_preservesSheafification {P₁ P₂ : Cᵒᵖ ⥤ A} (f : P₁ ⟶ P₂) (hf : J.W f) : J.W (whiskerRight f F) :=
  PreservesSheafification.le _ hf

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